Mixed <i>L</i> ₋ / <i>L</i> ₁ fault detection filter design for fuzzy positive linear systems with time‐varying delays

This study investigates the problem of fault detection for a class of fuzzy positive systems with time-varying delays. A new fault sensitivity measure, called L− index, is proposed. The L− fault detection filter design and multiobjective L− /L1 fault detection filter design problems are addressed. A co-positive type Lyapunov–Krasovskii functional is constructed for the performance analysis and fault detection filter design. Sufficient conditions for the existence of such two filers are firstly given, and then the design methods are presented. Finally, two examples are provided to show the effectiveness and applicability of the proposed method.